Least Common Multiple (LCM) of 147 and 117
The least common multiple (LCM) of 147 and 117 is 5733.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 147 and 117?
First, calculate the GCD of 147 and 117 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 117 = 1 remainder 30 |
| 2 | 117 ÷ 30 = 3 remainder 27 |
| 3 | 30 ÷ 27 = 1 remainder 3 |
| 4 | 27 ÷ 3 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 69 | 4554 |
| 187 and 35 | 6545 |
| 163 and 135 | 22005 |
| 143 and 13 | 143 |
| 68 and 67 | 4556 |